ENGLISH

Representation of Lie Groups and Special Functions: Recent Advances (Mathematics and Its Applications)

By A.U. Klimyk , N.Ja. Vilenkin

Book information

Year
1994
ISBN
0792332105, 9780792332107
LCC
QA176 .V55 1995
Open Library ID
OL7807688M
Language
english
Format
DJVU
Filesize
6 MB (6225108 bytes)
Edition
1
Pages
511\511
Topic
Mathematics Algebra
DPI
600
Time added
2011-06-04 13:46:07
Математика;Общая алгебра;Группы и алгебры Ли;Групп

Description

The present book is a continuation of the three-volume work Representation of Lie Groups and Special Functions by the same authors. Here, they deal with the exposition of the main new developments in the contemporary theory of multivariate special functions, bringing together material that has not been presented in monograph form before. The theory of orthogonal symmetric polynomials (Jack polynomials, Macdonald's polynomials and others) and multivariate hypergeometric functions associated to symmetric polynomials are treated. Multivariate hypergeometric functions, multivariate Jacobi polynomials and h-harmonic polynomials connected with root systems and Coxeter groups are introduced. Also, the theory of Gel'fand hypergeometric functions and the theory of multivariate hypergeometric series associated to Clebsch--Gordan coefficients of the unitary group U(n) is given. The volume concludes with an extensive bibliography. For research mathematicians and physicists, postgraduate students in mathematics and mathematical and theoretical physics.

Similar books